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Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the T_(cc)(3875)^+

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arxiv 2401.06609 v4 pith:QDMMJPE6 submitted 2024-01-12 hep-lat hep-phnucl-th

Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the T_(cc)(3875)^+

Maxwell T. Hansen , Fernando Romero-L\'opez , Stephen R. Sharpe This is my paper
classification hep-lat hep-phnucl-th
keywords scatteringfinite-volumeformalismlatticeleft-handamplitudeanalysesapplied
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic $DD\pi$ systems in the charm $C=2$ sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark $T_{cc}(3875)^+$ is expected to manifest as a pole in the $DD \pi \to DD \pi$ scattering amplitude. The formalism presented here can also be applied to lattice QCD settings in which the $D^*$ is bound and, in particular, remains valid below the left-hand cut in $D D^*$ scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

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